Parallel Lines cut by a Transversal Relationships

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet. They are always the same distance apart.

Front

What is a transversal?

Back

A transversal is a line that crosses at least two other lines in the same plane.

Front

What are corresponding angles?

Back

Corresponding angles are pairs of angles that are in similar positions at each intersection where a transversal crosses two lines.

Front

What are alternate interior angles?

Back

Alternate interior angles are pairs of angles that are on opposite sides of the transversal and inside the two lines.

Front

What are alternate exterior angles?

Back

Alternate exterior angles are pairs of angles that are on opposite sides of the transversal and outside the two lines.

Front

What are consecutive interior angles?

Back

Consecutive interior angles are pairs of angles that are on the same side of the transversal and inside the two lines.

Front

If two parallel lines are cut by a transversal, what is true about corresponding angles?

Back

Corresponding angles are equal.

Front

If two parallel lines are cut by a transversal, what is true about alternate interior angles?

Back

Alternate interior angles are equal.

Front

If two parallel lines are cut by a transversal, what is true about consecutive interior angles?

Back

Consecutive interior angles are supplementary (add up to 180 degrees).

Front

If m∠8 = 105° and m∠2 = (3x + 6)°, find m∠3.

Back

m∠3 = 75°.